When going through customs at the Eurostar terminal you do have to put your luggage and coats through the X-RAY machine but you do not have to remove your footwear.
When the title 'Gare Du Nord'. is on screen, the location is actually the nearby 'Gare De L'Est' train station. The 'Hotel Amiot' can be seen on the left of the screen which is just outside the station.